本文建立具鋸齒切刃端銑刀(serrated end mill) 的銑削力模式，並探討方波刃與正弦刃端銑刀的刀刃幾何參數對銑削加工特性的影響。首先分析具鋸齒刀刃幾何參數對切屑負載分佈及變化的影響，當為正弦曲線切刃端銑刀時，其刀刃幾何曲線波幅與每刃齒進給比較大時，則在任一軸向高度位置皆僅有一切削點參與切削，它的切削區域皆視刀刃幾何、刃數、刀刃螺旋角、正弦刀刃曲線波長、刀具半徑、切削徑深與切削軸深有關，而切屑厚度僅是刀刃幾何曲線波幅與每刃齒進比hs和徑向切深與刀具直徑比hr的函數，當hs較大時，切屑厚度為一般刀刃端銑刀的N倍，有效軸深為一般端銑刀的1/N倍。當為方波刃端銑刀則由切屑負載分析，方波刃端銑刀的切屑厚度為一般刀刃端銑刀的N/2倍，有效軸深為一般端銑刀的2/N倍，其切屑負載分佈在任意軸向高度位置均有N/2切削點參與切削。
　　由以上切屑負載的分析為基礎，經由刀刃幾何軸向切削視窗函數加諸於切削函數中利用捲積理論得到角度域銑削力，接著由傅立葉分析獲得頻域銑削力的模式。並且討論具鋸齒刀刃端銑刀銑削力在角度域與頻域的特性，以及刀刃幾何參數對銑削特性(有效切削軸深、切屑負載分佈、銑削穩定性、表面粗糙度、切削動力消耗)的影響及量化數值並與一般刀刃端銑刀比較，經由數值模擬以及實驗結果驗證了本文所提之銑削力模式及其應用的特性。

　　This paper presents analytical force models for a general helical serrated end mill with sinusoidal and square edges profile in both the angle and frequency domains. Based on the numerical chip load model, Chip load distribution is analyzed with respect to tool geometric parameters. The proposed chip load model describes the influence of flute geometry, number of cutter flutes, flute helix angle, wavelength of sinusoidal edge, cutter radius. Sinusoidal-edge chip thickness is N times that of a regular end mill, if the ratio of wave amplitude to the feed per tooth hs is large, that value of hs required to satiable is dependent on the number of the flute and the ratio of the radial depth of cut to the cutter diameter hr. Square-edge chip thickness is N/2 times that of a regular end mill by chip load of cutting edges. They are shown that under normal feed conditions that there exist only one and two cutting point at any axial position for an N-flute roughing end mill with its chip thickness N and N/2 times that of a regular end mill, while the effective axial depth of cut are only 1/Nth and 2Nth that of a regular end mill. Based on the chip load model, the analytical force model is subsequently established through convolution integration of the elemental cutting function with the cutting edge geometry function in the angular domain, followed by Fourier analysis to obtain the frequency domain force model. Distinctive features of the chip load distribution, vibration energy, surface rounghness and cutting energy for a roughing end mill are illustrated and compared with a regular end mill in the frequency as well as in the angular domain. Numerical simulation and experimental results are carried out to demonstrate the force characteristics and verify the force model.

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